●Preface
●Chapter 1 Introduction
●1.1 Graphs and Their Invariants
●1.2 Adjacency Matrix,Its Eigenvalues,and Its Characteristic Polynomial
●1.3 Some Useful Tools from Matrix Theory
●Chapter 2 Properties ofthe Principal Eigenvector
●2.1 Proportionality Lemma and the Rooted Product
●2.2 Principal Eigenvector Components Along a Path
●2.3 Extremal Components of the Principal Eigenvector
●2.4 Optimally Decreasing Spectral Radius by Deleting Vertices or Edges
●2.5 Regular, Harmonic, and Semiharmonic Graphs
●Chapter 3 Spectral Radius of Particular Types of Graphs
●3.1 Nonregular Graphs
●3.2 Graphs with a Given Degree Sequence
●3.3 Graphs with a Few Edges
●3.4 Complete ltipartite Graphs
●Chapter 4 SDectral Radius and Other Graph Invariants
●4.1 Selected AutoGraphiX Conjectures
●4.2 Clique Numbei
●4.3 Chromatic Number
●部分目錄